{
  "annotation_id": "0e0e7eca-c73b-4129-9316-0195609e2e22",
  "date_created": "2026-03-02T18:02:44.279000Z",
  "date_modified": "2026-03-02T18:02:44.279000Z",
  "file_hash": "383538b0b45af448de3ea2384e4ce7127ec9cc7d9fea9aa27e9499db7b701f65",
  "private": false,
  "record": {
    "abstract": "We propose a quantum mechanics of extended objects that accounts for the\nfinite extent of a particle defined via its Compton wavelength. The Hilbert\nspace representation theory of such a quantum mechanics is presented and this\nrepresentation is used to demonstrate the quantization of spacetime. The\nquantum mechanics of extended objects is then applied to two paradigm examples,\nnamely, the fuzzy (extended object) harmonic oscillator and the Yukawa\npotential. In the second example, we theoretically predict the phenomenological\ncoupling constant of the $\\omega$ meson, which mediates the short range and\nrepulsive nucleon force, as well as the repulsive core radius.",
    "arxiv_id": "quant-ph/9903025",
    "authors": [
      "Ramchander R. Sastry"
    ],
    "categories": [
      "quant-ph",
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "doi": "10.1088/0305-4470/33/46/311",
    "journal_ref": "J.Phys. A 33, 8305-8318 (2000) revised version",
    "title": "Quantum Mechanics of Extended Objects",
    "url": "https://arxiv.org/abs/quant-ph/9903025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2324dbbf-d920-4a96-9960-a683f3e64e7e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}